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Finding the Fourth Proportional to 5,493.80, 8,245.02 and 2,032.04

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Solution

The fourth proportional to 5,493.80, 8,245.02 and 2,032.04 is: 3,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.80 : 8,245.02 = 2,032.04 : x
  2. Step 2: Convert to fraction form
    5,493.80/8,245.02 = 2,032.04/x
  3. Step 3: Cross multiply
    5,493.80x = 8,245.02 × 2,032.04
  4. Step 4: Simplify right side
    5,493.80x = 16,754,210.44
  5. Step 5: Solve for x
    x = 16,754,210.44/5,493.80
  6. Step 6: Final answer
    x = 3,049.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.